4 (a) Jianyu records the time, in seconds, that some cars take to travel 195 m. The box and whisker plot shows this information. 5 6 7 8 9 10 11 12 13 14 Time (s) (i) Find the median time. ............................................... s [1] (ii) Find the interquartile range. ............................................... s [1] (iii) Find the difference between the average speed of the fastest car and the average speed of the slowest car. Give your answer in kilometres per hour. ........................................ km/h [5] © UCLES 2024 0580/41/M/J/24 9 (b) Matilda records the distances that 80 different cars can travel with a full tank of fuel. The table shows this information. Distance (dkm) 250 1 d G 300 300 1 d G 400 400 1 d G 420 420 1 d G 450 450 1 d G 500 Frequency 7 13 19 21 20 (i) Write down the class interval that contains the median. ...................1 d G ................... [1] (ii) Calculate an estimate of the mean. ........................................... km [4] (iii) A histogram is drawn to show the information in the table. The height of the bar for the interval 250 1 d G 300 is 2.8 cm. Calculate the height of the bar for each of the following intervals. 300 1 d G 400 ........................................... cm 400 1 d G 420 ........................................... cm 420 1 d G 450 ............................................ cm [3] (iv) Two of the 80 cars are chosen at random. Find the probability that, with a full tank of fuel, one of the cars can travel more than 450 km and the other car can travel not more than 300 km. ................................................. [3] © UCLES 2024 0580/41/M/J/24 [Turn over 10